ETD system

Electronic theses and dissertations repository


Tesi etd-03212017-103316

Thesis type
Tesi di dottorato di ricerca
Stability and sensitivity analysis for flow control
Settore scientifico disciplinare
Corso di studi
tutor Prof. Camarri, Simone
correlatore Prof.ssa Salvetti, Maria Vittoria
Parole chiave
  • Stability analysis
  • complex flows
  • sensitivity analysis
  • noise amplifiers
  • oscillators
Data inizio appello
Data di rilascio
Riassunto analitico
Wakes, jets and boundary layers are examples of open flows, where fluid particles are
convected downstream outside the physical domain of interest. These flows can exhibit
several types of instabilities, depending on the considered geometry and flow conditions. A
common classification in open flows is made according to the features of their instabilities.
Flows are called noise amplifiers, or amplifiers, when the instabilities are the result
of strong amplifications of external disturbances, that also define their characteristics.
Conversely, oscillators are flows that show an intrinsic dynamics and, under specific
conditions, synchronised self-sustained oscillations occur. The characterization of the
instability mechanisms is the fundamental stage to design effective and efficient control
In this thesis, the study of amplifiers and oscillators is carried out in the framework of
the linear stability analysis. Concerning the amplifiers, the study is here addressed to
investigate passive methods for transition delay in a Blasius boundary layer, aimed at
a reduction of the friction drag. All the control strategies here considered are based
on the methods of the spanwise mean velocity gradient, where the laminar-turbulent
transition is delayed through a modulation of the velocity inside the boundary layer in
spanwise direction. Different control devices are investigated in detail through the use
of direct numerical simulations and local stability analyses. The results of the stability
problem are summarized in neutral stability curves, that allow to identify promising
configurations in terms of stabilization of the Blasius unstable mode.
The study of oscillators is here conducted characterizing the leading global unstable modes
that define the flow behaviours. The flow in micromixers is first of all investigated using
global stability analysis. In particular, starting from the well documented T-junction
configuration, variations in geometry and fluid properties are here considered to assess
their effects on the onset of different flow regimes. Moreover, the global stability approach
is also applied to the flow past a sphere, in order to characterize its second bifurcation
that drives the system from a steady asymmetric solution towards an unsteady flow
state. Finally, a theoretical work is presented, in which an accurate estimation of the
global stability modes and of the characteristics of wakes, under assumption of slowly
non-parallel flow, is obtained by a higher-order correction term in the WKBJ asymptotic